Evaluate (4^16)^(1/2)

Problem

(4)(1/2)

Solution

1. Apply the power of a power rule, which states that (am)n=a(m⋅n)

2. Multiply the exponents by calculating 16⋅1/2

16⋅1/2=8

3. Rewrite the expression using the new exponent.

4

4. Evaluate the power by calculating 4 raised to the power of 8

4=65536

Final Answer

(4)(1/2)=65536

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